Abstract
We utilized hybrid circuit QED to prepare a multiphoton binomial state in accordance with the optimal quantum control method, and further investigated the quantum correlation dynamics of the hybrid coupling superconducting qubits. The results showed that the quantum entanglement was so weak that the duration was too short to be used as quantum information resource in the optical field of binomial state, while the geometric measure of quantum discord (GMQD) was fully adequate to the practical demand. With the increase of binomial optical field parameters M and r, the GMQD evolved more and more frequently, and collapse and revival occurred periodically. When the optical field of binomial state tended to coherent state, the collapse and revival period of the GMQD extended as the average photon number increased.
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Rigetti, C., Gambetta, J.M., Poletto, S., Plourde, B.L.T., Chow, J.M., Co’rcoles, A.D., Smolin, J.A., Merkel, S.T., Rozen, J.R., Keefe, G.A., Rothwell, M.B., Ketchen, M.B., Steffen, M.: Superconducting qubit in a waveguide cavity with a coherence time approaching 0.1 ms. Phys. Rev. B 86, 100506 (2012)
Laflamme, C., Clerk, A.A.: Weak Qubit measurement with a nonlinear cavity: beyond perturbation theory. Phys. Rev. Lett. 109, 123602 (2012)
Blais, A., Huang, R.S., Wallraff, A., Girvin, S.M., Schoelkopf, R.J.: Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation. Phys. Rev. A 69, 062320 (2004)
DiCarlo, L., Reed, M.D., Sun, L., Johnson, B.R., Chow, J.M., Gambetta, J.M., Frunzio, L., Girvin, S.M., Devoret, M.H., Schoelkopf, R.J.: Preparation and measurement of three-qubit entanglement in a superconducting circuit. Nature 467, 574 (2010)
Hofheinz, M., Wang, H., Ansmann, M., Bialczak, R.C., Lucero, E., Neeley, M., O’Connell, A.D., Sank, D., Wenner, J., Martinis, J.M., Cleland, A.N.: Synthesizing arbitrary quantum states in a superconducting resonator. Nature 459, 546 (2009)
He, X.L., Liu, Y.X., You, J.Q., Nori, F.: Variable-frequency-controlled coupling in charge qubit circuits: Effects of microwave field on qubit-state readout. Phys. Rev. A 76, 022317 (2007)
Xiao X., Fang, M.F., Li, Y.L.: Non-Markovian dynamics of two Qubits driven by classical fields: Population trapping and entanglement preservation. J. Phys. B; At. Mol. Opt. Phys. 43, 185505 (2010)
Ji, Y.H., Hu, J.J., Hu, Y.: Comparison and control of the robustness between quantum entanglement and quantum correlation in an open quantum system. Chin. Phys. B 21, 110304 (2012)
Knill, E., Laflamme, R.: Power of one bit of quantum information. Phys. Rev. Lett. 81, 5672 (1998)
Henderson, L., Vedral, V.: Classical, quantum and total correlations. J. Phys. A: Math. Thcor. 34, 6899 (2001)
Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)
Ji, S.W., Kim, J., Lee, H.W., Zubairy, M.S., Nha, H.: Loophole-free bell test for continuous variables via wave and particle correlations. Phys. Rev. Lett. 105, 170404 (2010)
Lanyon, B.P., Barbieri, M., Almeida, M.P., White, A.G.: Experimental quantum computing without entanglement. Phys. Rev. Lett. 101, 200501 (2008)
Deleglise, S., Dotsenko, I., Sayrin, C., Bernu, J., Brune, M., Raimond, J.M., Haroche, S.: Reconstruction of non-classical cavity field states with snapshots of their decoherence. Nature 455, 510 (2008)
Lo Franco, R., Compagno, G., Messina, A., Napoli, A.: Generating and revealing a quantum superposition of electromagnetic-field binomial states in a cavity. Phys. Rev. A 76, 011804 (2007)
Lo Franco, R., Compagno, G., Messina, A., Napoli, A.: Bell’s inequality violation for entangled generalized Bernoulli states in two spatially separate cavities. Phys. Rev. A 72, 053806 (2005)
He, X.L., You, J.Q., Liu, Y.X., Wei, L.F., Nori, F.: Switchable coupling between charge and flux qubits. Phys. Rev. B 76, 24517 (2007)
Wu, Q.Q., Liao, J.Q., Kuang, L.M.: Quantum State transfer between charge and flux Qubits in circuit-QED. Chin. Phys. Lett. 25, 1179 (2008)
Lo Franco, R., Compagno, G., Messina, A., Napoli, A.: Efficient generation of N-photon binomial states and their use in quantum gates in cavity QED. Phys. Lett. A 374, 2235 (2010)
Guerlin, C., Bernu, J., Deleglise, S., Sayrin, C., Gleyzes, S., Kuhr, S., Brune, M., Raimond, J.M., Haroche, S.: Progressive field-state collapse and quantum non-demolition photon counting. Nature 448, 889 (2007)
Wootters, W.K.: Entanglement of formation of an arbitrary State of two Qubits. Phys. Rev. Lett. 80, 2245 (1998)
Zhang, J.S., Chen, A.X.: Review of quantum discord in bipartite and multipartite systems. Quant. Phys. Lett. 1, 69 (2012)
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This work is supported by the National Natural Science Foundation of China under Grant No. 11264015.
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Hu, J., Huang, J., Hu, H. et al. Prepare Multiphoton Binomial State Utilizing Hybrid Circuit QED. Int J Theor Phys 53, 3078–3088 (2014). https://doi.org/10.1007/s10773-014-2103-z
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DOI: https://doi.org/10.1007/s10773-014-2103-z